The equation f(x)=2x−9 translated 6 units up is g(x)=

When a function is translated, the function is shifted or moved by some units to get a new function. The function g(x) after translating f(x) 6 units up is:

Given that

The rule of translating 6 units up is:

So, we have:

Substitute

Hence, the function g(x) after translating f(x) 6 units up is:

Read more about translations at:

link

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)